One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

A 2:3
B 1:6.4
C 1:16
D 1:64

Answers

Answer 1

Answer:

Step-by-step explanation:

d₁ = 6 inches

r₁ = 3 inches

area = πr₁² = 9π in²

d₂ = 24 inches

r₂ = 12 inches

area = πr₂² = 144π in²

ratio of areas = (9π)/(144π) = 9/144 = 1/16


Related Questions

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Answers

Answer:

The equation is given by:

[tex]D(t) = 80 + 9\sin{0.2618t}[/tex]

Step-by-step explanation:

Sine function:

Has the following format:

[tex]y = A\sin{bx}[/tex]

In which A is the amplitude and [tex]\frac{2\pi}{b}[/tex] is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that [tex]A = 9[/tex]

During a 24-hour day, which means that the period is 24. So

[tex]\frac{2\pi}{b} = 24[/tex]

[tex]24b = 2\pi[/tex]

[tex]b = \frac{2\pi}{24}[/tex]

[tex]b = 0.2618[/tex]

So the variation is:

[tex]V(t) = 9\sin{0.2618t}[/tex]

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

[tex]D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}[/tex]

Picture question middle school math

Answers

Answer:

[tex] \huge \: b) \: 59 \: i {n}^{2} [/tex]

Step-by-step explanation:

to understand thisyou need to know aboutarea of trianglesarea of rectanglePEMDAStips and formulas:rectangle opposite sides are equalarea of rectangle:l×warea of triangle:½×h×blet's solve:

the area of the rectangle is

4×7 in²

28 in²

the area of above triangle is

½×6×7 in²

3×7 in²

21 in²

the area of left side triangle is

½×5×4 in²

2×5 in²

10 in²

therefore,

the area of the polygon is

28+21+10 in²

59 in²

Given the function f(x) =2x+5 what would the output be with an input of 6?

Answers

The output would be 17

Pls help meeeeeee ahhhhhhh!

Answers

Answer: 8x+7

Step-by-step explanation:

The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!

Aubree took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.20 plus $2.75 per mile. The total fare was $59.95, not including the tip. How
many miles was the taxi ride?

Answers

the taxi ride was 21 miles

Determine if the lines are parallel, perpendicular or neither: x = 5 and x = -2

Answers

Not enough info so neither.

.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help

Answers

Answer:

5x+32y+76

Step-by-step explanation:

First, distribute.

4 x 2x = 8x

4 x 8y = 32y

4 x 9 = 36

Then, combine like terms.

8x - 3x = 5x

36 + 40 = 76

And that leaves 5x+32y+76

4(2x + 8y + 9) -3x + 40
= 8x + 32y + 36 - 3x + 40
= 8x - 3x + 32y + 36 + 40
= 5x + 32y + 76
So, in conclusion, the expression: 4(2x + 8y + 9) -3x + 40 simplified is: 5x + 32y + 76.

What is the slope of the line represented by the equation y=--
1/2x+1/4?

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

The number accompanied by the variable is the slope. It is in y=mx+b format, and m is the slope.

The slope is 1/2
The y-intercept is 1/4
It’s starting at 1/4 and increasing by 1/2

at noon the temperature in successor Michigan was 82°F by midnight the temperature had fallen to 66°F what was the change in temperature over the 12 hour period

Answers

Answer:

The change in temperature was of -16ºF, that is, a decrease of 16ºF.

Step-by-step explanation:

At noon, the temperature was of 82°F.

By midnight the temperature had fallen to 66°F.

Change:

Final value subtracted by initial value, so

66ºF - 82ºF = -16ºF

The change in temperature was of -16ºF, that is, a decrease of 16ºF.

What are expressions that are equivalent to -4/3p - 2/5?

Answers

-4/3 - 2/5

HOPE THAT HELPS DUDE

A spinner numbered 1 to 8 is spun and a six-sided die is rolled. What is the probability of getting a multiple of 4 on the spinner and a multiple of 4 on the die?​

Answers

Answer:

1/24

Step-by-step explanation:

P(4,8 and 4) = 2/8 x 1/6 = 1/24

PLEEEEAAASSEE HELP I AM AWFUL AT MATH

Answers

Answer:

the first one is 3.3 the next one is 2.5 the next  one is 0.7 the next one is 2.1 hope this helps

Step-by-step explanation:

BEG is a triangle ABC and DEF are parallel lines workout the size of angle x

Answers

Answer:

Step-by-step explanation:

Here the answer

Answer:

Angle X i belive is a right angle

Christian gets $100 from his Grandma for his birthday. He decides to go to the bank and put it in a
savings account which earns 1% simple interest. When he graduates high school in 6 years, how
much money will be in his account?
$100
$160
$106
$6

Answers

Answer:

6 im pretty sure

Step-by-step explanation:

...

i am pretty sure that it is $106 because he earns %1 interest every year

Solve for y 35 = 11y

Answers

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

                       

Charmaine drives a truck for a soft drink company. Her truck is filled with 20 ounce cans and 80 ounce bottles. Let x be the number of 20 ounce cans the truck is carrying, and let y be the number of 80 ounce bottles.The truck must be carrying at most 48,000ounce). Using the values and variables given, write an inequality describing this

Answers

9514 1404 393

Answer:

  20x +80y ≤ 48000

Step-by-step explanation:

If x is the number of 20-ounce cans, then the number of ounces in the cans is 20x.

If y is the number of 80-ounce bottles, then the number of ounces in the bottles is 80y.

"At most 48,000 ounces" means the total of ounces of cans and ounces of bottles must be less than or equal to 48000.

  20x +80y ≤ 48000

Hello. Giving Brainliest for whoever is correct.


A poster is shown below:

A rectangle is shown. The length of the rectangle is labeled 12 feet. The width of the rectangle is labeled 3 feet.

What are the dimensions if the poster is enlarged by a factor of five over two ?

7.5 ft by 30 ft
15 ft by 60 ft
1.5 ft by 6 ft
15 ft by 6 ft

Answers

Answer: 7.5 ft by 30ft

Explanation: 12*5/2=60/2=30 ft
3*5/2=15/2=7.5 ft

Which triangles are similar to AABC?
A
5
B
11
8

Answers

It’s A because look at the the triangles

What is the slope of the line shown below? • (3,9) O A. -3 ch (1,3) O B. -6 O c. 6 O D. 3 # SUBM​

Answers

b because y2-y1 c2-x1

The slope of the line with the coordinate points (-3, 9) and (1, 3) is -1.5.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (-3, 9) and (1, 3).

Substitute, (x₁, y₁)=(-3, 9) and (x₂, y₂)=(1, 3) in the slope formula, we get

Slope = (3-9)/(1-(-3))

= -6/4

= -3/2

= -1.5

Therefore, the slope is -1.5.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ7

use the information in the diagram to determine the height of the tree. the diagram is not to scale.

Answers

Answer:

seventy five ft

Step-by-step explanation:

Which of the following functions is graphed below?

Answers

Answer:

i think it is Answer D i am not sure

Step-by-step explanation:

11. A spinner is divided into 12 equal sections. Five of the sections are labeled with
Even numbers, three sections are labeled with vowels, and four of the sections are
labeled with odd numbers. What is the probability of spinning an odd number? Writeyour answer as a fraction fully reduced.

12. You are choosing an outfit. You can choose from blue jeans, black joans or joggers (3 cholcos).
You can choose from a white tee shirt, Orange too shirt, or gray sweatshirt (3 choices). Finally, you
can choose from your Vans or Crocs (2 choices)

a. A tree diagram would have how many branches? (so how many total choices would there be if
you mutipan 18 choices

b. The counting principal would look like what?
Write your answer like a xbxcxd with you putting in numbers for the letters

c. How many different ways can she choose to write the outfit ?

d. What is the probability that you will choose the joggers, orange tee shirt and Croos? Write your answer as a fraction: a/b with a and being numbers?

Answers

Answer:

Probability of spinning an odd number = 1/3

Step-by-step explanation:

4 odd out of 12 sections

Probability of spinning an odd number = 4/12 = 1/3

HELP ASAAPPP I WILL GIVE BRAINIST IF YOUR CORRECT TELL ME THE ANSWER FOR ALL OF THEM

Answers

Answer:

It takes Garret 15 mins to remove one ft of hem.

(cause 4" for 5 mins x 3 = 12" for 15 mins)

He should multiply the number of minutes by 5 to determine the number of minutes to remove 5 ft of hem.

(15 x 5 = 75)

It will take 75 mins to remove 5 ft of hem.

Step-by-step explanation:

Answer plz and fastttttttttttttttttt

Answers

Answer:

A. 576 gallons

Step-by-step explanation:

60% of 1,440 = 864

1,440 - 864 =    576

so there are 576 gallons left to fill to the top

APQR is similar to AXYZ.
What is the length of XZ?

Answers

Answer:

15

Step-by-step explanation:

scale factor is 1.5

10*1.5 =15

The answer 15 hope this helped

Sebastian and his family picked 4 1/4 bushels of red apples and 2 5/6 of green apples at the orchard. How many more red apples were picked.

Answers

Answer:

1 5/12

Step-by-step explanation:

4 1/4- 2 5/6= 1 5/12

Also   1 5/12+  2 5/6= 4 1/4

3.Reflect the point (6,-5) over the x-axis.
A.(-6,-5)
B.(6,-5)
C.(6,5)
D.(5,-6)

Answers

Answer:

the answer is C

Step-by-step explanation:

hoped I helped:)

Write a expression with the same meaning as the sum of 3 and the quotient of a number divided by 6

Answers

3+n/6
Sum is adding so
3+
and the quotient ( so division)
n( divided by) 6
n/6
3+n/6

Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.

If Patty gets her car appraised after owning it for 6 years, what will the car's value be in this indirect variation situation?

A. $7,500
B. $2,500
C. $6,000
D. $4,000

Answers

Answer:

c) 6000

Step-by-step explanation:

the car's value would be $6000 because in two years the car decrased by $6000. Divide that by 2, and get $3000. That's how much it decreases in one year. $9000-$3000=$6000

btw I can't help it the car's original value was $24,000

what is the quotient of x^3+11x^2+26x+16÷x+1​

Answers

Answer:

x²+x+1

Step-by-step explanation:

I think you mean (x^3 + 11x^2 + 26x + 16)÷(x+1). The parentheses make a difference.

The easiest method is synthetic division.

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